Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value when a specific input is substituted into the function.

Front

Evaluate f(x) = 2x + 1 for f(3).

Back

f(3) = 2(3) + 1 = 7.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Evaluate f(x) = x^2 for f(-3).

Back

f(-3) = (-3)^2 = 9.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

Front

Evaluate h(x) = 3x - 4 for h(2).

Back

h(2) = 3(2) - 4 = 2.

Front

What is the difference between independent and dependent variables in a function?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.

Front

Evaluate f(x) = -x + 5 for f(1).

Back

f(1) = -1 + 5 = 4.